Finding the Third Proportional to 71,353 and 109,713

Step by Step Solution

1. Step 1: Write the proportion equation
   71,353 : 109,713 = 109,713 : x
2. Step 2: Convert to fraction form
   71,353/109,713 = 109,713/x
3. Step 3: Cross multiply
   71,353x = 109,713 × 109,713
4. Step 4: Simplify right side
   71,353x = 12,036,942,369
5. Step 5: Solve for x
   x = 12,036,942,369/71,353
6. Step 6: Final answer
   x = 168,695.67